{"id":3553,"date":"2021-02-27T15:39:25","date_gmt":"2021-02-27T15:39:25","guid":{"rendered":"https:\/\/pickedshares.com\/?p=3553"},"modified":"2021-03-26T16:45:05","modified_gmt":"2021-03-26T16:45:05","slug":"center-of-area-of-%e2%80%8b%e2%80%8bgeometric-figures","status":"publish","type":"post","link":"https:\/\/pickedshares.com\/en\/center-of-area-of-%e2%80%8b%e2%80%8bgeometric-figures\/","title":{"rendered":"Center of area of \u200b\u200bgeometric figures"},"content":{"rendered":"\n<p id=\"schwerpunkt-start\">A click on the respective picture leads to the calculation of the centroids:<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-large\"><a href=\"#triangle\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"450\" src=\"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Dreieck-1024x450.png\" alt=\"Centroid triangle\" class=\"wp-image-3491\" srcset=\"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Dreieck-1024x450.png 1024w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Dreieck-300x132.png 300w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Dreieck-768x337.png 768w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Dreieck-400x176.png 400w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Dreieck-800x351.png 800w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Dreieck.png 1312w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a><figcaption>Triangle<\/figcaption><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-large\"><a href=\"#parallelogram\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"494\" src=\"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Parallelogramm-1024x494.png\" alt=\"Centroid parallelogramm\" class=\"wp-image-3496\" srcset=\"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Parallelogramm-1024x494.png 1024w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Parallelogramm-300x145.png 300w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Parallelogramm-768x370.png 768w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Parallelogramm-400x193.png 400w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Parallelogramm-800x386.png 800w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Parallelogramm.png 1118w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a><figcaption>Parallelogram<\/figcaption><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-large\"><a href=\"#trapezoid\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"540\" src=\"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Trapez-1-1024x540.png\" alt=\"Centroid trapezoid\" class=\"wp-image-3499\" srcset=\"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Trapez-1-1024x540.png 1024w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Trapez-1-300x158.png 300w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Trapez-1-768x405.png 768w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Trapez-1-400x211.png 400w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Trapez-1-800x422.png 800w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Trapez-1.png 1283w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a><figcaption>Trapezoid<\/figcaption><\/figure>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-large\"><a href=\"#circlesection\"><img loading=\"lazy\" decoding=\"async\" width=\"753\" height=\"605\" src=\"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Kreisausschnitt.png\" alt=\"Centroid circle section\" class=\"wp-image-3505\" srcset=\"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Kreisausschnitt.png 753w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Kreisausschnitt-300x241.png 300w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Kreisausschnitt-400x321.png 400w\" sizes=\"auto, (max-width: 753px) 100vw, 753px\" \/><\/a><figcaption>Circle section<\/figcaption><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-large\"><a href=\"#circlesegment\"><img loading=\"lazy\" decoding=\"async\" width=\"917\" height=\"569\" src=\"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Kreisabschnitt.png\" alt=\"Centroid circle segment\" class=\"wp-image-3503\" srcset=\"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Kreisabschnitt.png 917w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Kreisabschnitt-300x186.png 300w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Kreisabschnitt-768x477.png 768w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Kreisabschnitt-400x248.png 400w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Kreisabschnitt-800x496.png 800w\" sizes=\"auto, (max-width: 917px) 100vw, 917px\" \/><\/a><figcaption>Circle segment<\/figcaption><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-large\"><a href=\"#circularringsection\"><img loading=\"lazy\" decoding=\"async\" width=\"991\" height=\"535\" src=\"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Kreisringstueck.png\" alt=\"Centroid circular ring piece\" class=\"wp-image-3507\" srcset=\"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Kreisringstueck.png 991w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Kreisringstueck-300x162.png 300w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Kreisringstueck-768x415.png 768w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Kreisringstueck-400x216.png 400w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Kreisringstueck-800x432.png 800w\" sizes=\"auto, (max-width: 991px) 100vw, 991px\" \/><\/a><figcaption>Circular ring section<\/figcaption><\/figure>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-large\"><a href=\"#parabolicsurfaces\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"721\" src=\"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Parabelflaechen-1024x721.png\" alt=\"Centroid parabolic surfaces\" class=\"wp-image-3513\" srcset=\"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Parabelflaechen-1024x721.png 1024w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Parabelflaechen-300x211.png 300w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Parabelflaechen-768x541.png 768w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Parabelflaechen-400x282.png 400w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Parabelflaechen-800x563.png 800w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Parabelflaechen.png 1175w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a><figcaption>Parabolic surfaces<\/figcaption><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-large\"><a href=\"#parabolicsection\"><img loading=\"lazy\" decoding=\"async\" width=\"999\" height=\"467\" src=\"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Parabelabschnitt.png\" alt=\"Centroid parabolic section\" class=\"wp-image-3538\" srcset=\"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Parabelabschnitt.png 999w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Parabelabschnitt-300x140.png 300w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Parabelabschnitt-768x359.png 768w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Parabelabschnitt-400x187.png 400w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Parabelabschnitt-800x374.png 800w\" sizes=\"auto, (max-width: 999px) 100vw, 999px\" \/><\/a><figcaption>Parabolic section<\/figcaption><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-large\"><a href=\"#ellipticalsection\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"619\" src=\"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Ellipsenabschnitt-1024x619.png\" alt=\"Centroid elliptical section\" class=\"wp-image-3548\" srcset=\"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Ellipsenabschnitt-1024x619.png 1024w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Ellipsenabschnitt-300x181.png 300w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Ellipsenabschnitt-768x465.png 768w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Ellipsenabschnitt-400x242.png 400w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Ellipsenabschnitt-800x484.png 800w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Ellipsenabschnitt.png 1159w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a><figcaption>Elliptical section<\/figcaption><\/figure>\n<\/div>\n<\/div>\n\n\n\n<p>General information and <a href=\"https:\/\/pickedshares.com\/en\/tag\/centre-points\/\">exercises for calculating centroids can be found under the respective keyword<\/a>.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Centers of area in the plane<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"triangle\">Triangle<\/h3>\n\n\n\n<figure class=\"wp-block-image size-large custom-flex-image\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"450\" src=\"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Dreieck-1024x450.png\" alt=\"Centroid triangle\" class=\"wp-image-3491\" srcset=\"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Dreieck-1024x450.png 1024w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Dreieck-300x132.png 300w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Dreieck-768x337.png 768w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Dreieck-400x176.png 400w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Dreieck-800x351.png 800w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Dreieck.png 1312w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption>Centroid triangle<\/figcaption><\/figure>\n\n\n\n<script src=\"https:\/\/cdnjs.cloudflare.com\/ajax\/libs\/mathjax\/2.7.7\/MathJax.js?config=TeX-AMS_HTML\" async=\"async\">  \/\/ A comment that hinders wxWidgets from optimizing this tag too much.\n<\/script>\n<p>\\[ y_S = \\frac{h}{3}\\]<\/p>\n\n\n\n<p><a href=\"#schwerpunkt-start\" rel=\"nofollow\">Go back<\/a><\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"parallelogram\">Parallelogram<\/h3>\n\n\n\n<figure class=\"wp-block-image size-large custom-flex-image\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"494\" src=\"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Parallelogramm-1024x494.png\" alt=\"Centroid parallelogramm\" class=\"wp-image-3496\" srcset=\"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Parallelogramm-1024x494.png 1024w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Parallelogramm-300x145.png 300w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Parallelogramm-768x370.png 768w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Parallelogramm-400x193.png 400w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Parallelogramm-800x386.png 800w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Parallelogramm.png 1118w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption>Centroid parallelogram<\/figcaption><\/figure>\n\n\n\n<script src=\"https:\/\/cdnjs.cloudflare.com\/ajax\/libs\/mathjax\/2.7.7\/MathJax.js?config=TeX-AMS_HTML\" async=\"async\">  \/\/ A comment that hinders wxWidgets from optimizing this tag too much.\n<\/script>\n<p>\\[ y_S = \\frac{h}{2}\\]<\/p>\n\n\n\n<p><a href=\"#schwerpunkt-start\">Go back<\/a><\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"trapezoid\">Trapezoid<\/h3>\n\n\n\n<figure class=\"wp-block-image size-large custom-flex-image\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"540\" src=\"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Trapez-1-1024x540.png\" alt=\"Centroid trapezoid\" class=\"wp-image-3499\" srcset=\"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Trapez-1-1024x540.png 1024w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Trapez-1-300x158.png 300w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Trapez-1-768x405.png 768w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Trapez-1-400x211.png 400w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Trapez-1-800x422.png 800w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Trapez-1.png 1283w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption>Centroid trapezoid<\/figcaption><\/figure>\n\n\n\n<script src=\"https:\/\/cdnjs.cloudflare.com\/ajax\/libs\/mathjax\/2.7.7\/MathJax.js?config=TeX-AMS_HTML\" async=\"async\">  \/\/ A comment that hinders wxWidgets from optimizing this tag too much.\n<\/script>\n<p>\\[ y_S = \\frac{h}{3} \\cdot \\frac{a+2\\cdot b}{a+b}\\]<\/p>\n\n\n\n<p><a href=\"#schwerpunkt-start\">Go back<\/a><\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"circlesection\">Circle section<\/h3>\n\n\n\n<figure class=\"wp-block-image size-large custom-flex-image\"><img loading=\"lazy\" decoding=\"async\" width=\"753\" height=\"605\" src=\"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Kreisausschnitt.png\" alt=\"Centroid circle section\" class=\"wp-image-3505\" srcset=\"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Kreisausschnitt.png 753w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Kreisausschnitt-300x241.png 300w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Kreisausschnitt-400x321.png 400w\" sizes=\"auto, (max-width: 753px) 100vw, 753px\" \/><figcaption>Centroid circle section<\/figcaption><\/figure>\n\n\n\n<script src=\"https:\/\/cdnjs.cloudflare.com\/ajax\/libs\/mathjax\/2.7.7\/MathJax.js?config=TeX-AMS_HTML\" async=\"async\">  \/\/ A comment that hinders wxWidgets from optimizing this tag too much.\n<\/script>\n<p>\\[ y_S = \\frac{2 \\cdot r \\cdot sin \\alpha}{3 \\cdot \\alpha}\\]<\/p>\n<p>\\[ y_S = \\frac{2 \\cdot r \\cdot l}{3 \\cdot b}\\]<\/p>\n<p>For the semicircle it is<\/p>\n<p>\\[ y_S = \\frac{4 \\cdot r }{3 \\cdot \\pi}\\]<\/p>\n\n\n\n<p><a href=\"#schwerpunkt-start\">Go back<\/a><\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"circlesegment\">Circle segment<\/h3>\n\n\n\n<figure class=\"wp-block-image size-large custom-flex-image\"><img loading=\"lazy\" decoding=\"async\" width=\"917\" height=\"569\" src=\"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Kreisabschnitt.png\" alt=\"Centroid circle segment\" class=\"wp-image-3503\" srcset=\"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Kreisabschnitt.png 917w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Kreisabschnitt-300x186.png 300w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Kreisabschnitt-768x477.png 768w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Kreisabschnitt-400x248.png 400w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Kreisabschnitt-800x496.png 800w\" sizes=\"auto, (max-width: 917px) 100vw, 917px\" \/><figcaption>Centroid circle segment<\/figcaption><\/figure>\n\n\n\n<script src=\"https:\/\/cdnjs.cloudflare.com\/ajax\/libs\/mathjax\/2.7.7\/MathJax.js?config=TeX-AMS_HTML\" async=\"async\">  \/\/ A comment that hinders wxWidgets from optimizing this tag too much.\n<\/script>\n<p>\\[ y_S = \\frac{2}{3} \\cdot \\frac{r \\cdot sin^3 \\alpha}{\\alpha - sin \\alpha \\cdot cos \\alpha} \\]<\/p>\n<p>For the semicircle it is<\/p>\n<p>\\[ y_S = \\frac{4 \\cdot r }{3 \\cdot \\pi}\\]<\/p>\n\n\n\n<p><a href=\"#schwerpunkt-start\">Go back<\/a><\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"circularringsection\">Circular ring section<\/h3>\n\n\n\n<figure class=\"wp-block-image size-large custom-flex-image\"><img loading=\"lazy\" decoding=\"async\" width=\"991\" height=\"535\" src=\"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Kreisringstueck.png\" alt=\"Centroid circular ring piece\" class=\"wp-image-3507\" srcset=\"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Kreisringstueck.png 991w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Kreisringstueck-300x162.png 300w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Kreisringstueck-768x415.png 768w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Kreisringstueck-400x216.png 400w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Kreisringstueck-800x432.png 800w\" sizes=\"auto, (max-width: 991px) 100vw, 991px\" \/><figcaption>Centroid circular ring section<\/figcaption><\/figure>\n\n\n\n<script src=\"https:\/\/cdnjs.cloudflare.com\/ajax\/libs\/mathjax\/2.7.7\/MathJax.js?config=TeX-AMS_HTML\" async=\"async\">  \/\/ A comment that hinders wxWidgets from optimizing this tag too much.\n<\/script>\n<p>\\[ y_S = \\frac{2}{3} \\cdot \\frac{\\left( r_a^3-r_i^3 \\right) \\cdot sin \\alpha}{\\left( r_a^2-r_i^2\\right) \\cdot \\alpha} \\]<\/p>\n\n\n\n<p><a href=\"#schwerpunkt-start\">Go back<\/a><\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"parabolicsurfaces\">Parabolic surfaces<\/h3>\n\n\n\n<figure class=\"wp-block-image size-large custom-flex-image\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"721\" src=\"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Parabelflaechen-1024x721.png\" alt=\"Centroid parabolic surfaces\" class=\"wp-image-3513\" srcset=\"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Parabelflaechen-1024x721.png 1024w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Parabelflaechen-300x211.png 300w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Parabelflaechen-768x541.png 768w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Parabelflaechen-400x282.png 400w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Parabelflaechen-800x563.png 800w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Parabelflaechen.png 1175w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption>Centroid parabolic surfaces<\/figcaption><\/figure>\n\n\n\n<script src=\"https:\/\/cdnjs.cloudflare.com\/ajax\/libs\/mathjax\/2.7.7\/MathJax.js?config=TeX-AMS_HTML\" async=\"async\">  \/\/ A comment that hinders wxWidgets from optimizing this tag too much.\n<\/script>\n<p><strong>Centroid S<sub>1<\/sub><\/strong><\/p>\n<p>\\[ x_{S1} = \\frac{3 \\cdot a}{8} \\]<\/p>\n<p>\\[ y_{S1} = \\frac{2 \\cdot h}{5} \\]<\/p>\n<p><strong>Centroid S<sub>2<\/sub><\/strong><\/p>\n<p>\\[ x_{S2} = \\frac{3 \\cdot a}{4} \\]<\/p>\n<p>\\[ y_{S2} = \\frac{3 \\cdot h}{10} \\]<\/p>\n\n\n\n<p><a href=\"#schwerpunkt-start\">Go back<\/a><\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"parabolicsection\">Parabolic section<\/h3>\n\n\n\n<figure class=\"wp-block-image size-large custom-flex-image\"><img loading=\"lazy\" decoding=\"async\" width=\"999\" height=\"467\" src=\"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Parabelabschnitt.png\" alt=\"Centroid parabolic section\" class=\"wp-image-3538\" srcset=\"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Parabelabschnitt.png 999w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Parabelabschnitt-300x140.png 300w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Parabelabschnitt-768x359.png 768w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Parabelabschnitt-400x187.png 400w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Parabelabschnitt-800x374.png 800w\" sizes=\"auto, (max-width: 999px) 100vw, 999px\" \/><figcaption>Centroid parabolic section<\/figcaption><\/figure>\n\n\n\n<script src=\"https:\/\/cdnjs.cloudflare.com\/ajax\/libs\/mathjax\/2.7.7\/MathJax.js?config=TeX-AMS_HTML\" async=\"async\">  \/\/ A comment that hinders wxWidgets from optimizing this tag too much.\n<\/script>\n<p>\\[ y_S = \\frac{2 \\cdot h}{5} \\]<\/p>\n\n\n\n<p><a href=\"#schwerpunkt-start\">Go back<\/a><\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"ellipticalsection\">Elliptical section<\/h3>\n\n\n\n<figure class=\"wp-block-image size-large custom-flex-image\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"619\" src=\"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Ellipsenabschnitt-1024x619.png\" alt=\"Centroid elliptical section\" class=\"wp-image-3548\" srcset=\"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Ellipsenabschnitt-1024x619.png 1024w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Ellipsenabschnitt-300x181.png 300w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Ellipsenabschnitt-768x465.png 768w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Ellipsenabschnitt-400x242.png 400w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Ellipsenabschnitt-800x484.png 800w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/02\/Schwerpunkt-Ellipsenabschnitt.png 1159w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption>Centroid elliptical section<\/figcaption><\/figure>\n\n\n\n<script src=\"https:\/\/cdnjs.cloudflare.com\/ajax\/libs\/mathjax\/2.7.7\/MathJax.js?config=TeX-AMS_HTML\" async=\"async\">  \/\/ A comment that hinders wxWidgets from optimizing this tag too much.\n<\/script>\n<p>\\[ y_S = \\frac{2 }{3} \\cdot \\frac{b \\cdot sin^3 \\alpha}{\\alpha - sin \\alpha \\cdot cos \\alpha} \\]<\/p>\n\n\n\n<p><a href=\"#schwerpunkt-start\">Go back<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p> ... <a title=\"Center of area of \u200b\u200bgeometric figures\" class=\"read-more\" href=\"https:\/\/pickedshares.com\/en\/center-of-area-of-%e2%80%8b%e2%80%8bgeometric-figures\/\" aria-label=\"Read more about Center of area of \u200b\u200bgeometric figures\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":3534,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[79,54],"tags":[50],"class_list":["post-3553","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-engineering-en","category-tools-en","tag-centre-points","infinite-scroll-item","masonry-post","generate-columns","tablet-grid-50","mobile-grid-100","grid-parent","grid-33"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Center of area of \u200b\u200bgeometric figures &#8226; pickedshares<\/title>\n<meta name=\"description\" content=\"A brief overview of the centroid coordinates for several geometric shapes and figures like triangle, parallelogram, trapezoid, circular...\" \/>\n<meta name=\"robots\" content=\"index, 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